The announcement sets the stage for what could be one of the largest Hall of Fame classes in recent history, one year after there were no living inductees. The players up for election include Greg Maddux, Tom Glavine and Frank Thomas; the results will be announced Jan. 8.

La Russa ranked third, Cox fourth and Torre fifth on the list of all-time managerial victories, trailing only Connie Mack and John McGraw. With Monday’s announcement, the 10 managers with at least 2,000 victories have been elected to the Hall of Fame.

Torre won 2,326 games for the Braves, Cardinals, Dodgers, Yankees and Mets, including championships with the Yankees in 1996, 1998, 1999 and 2000. He finished his career with the Dodgers in 2010, after he had groomed Don Mattingly as his successor.